Fetching the paper…
Reading the bibliography…
Ordered phases of matter have close connections to computation.
P. Erdös, “On an elementary proof of some asymptotic formulas in the theory of partitions,” Annals of Mathematics 43
1942
Earlier work this paper cites.
Robert G. Gallager, Low density parity check codes , Sc.d. thesis, Massachusetts Institute of Technology, Cambridge, MA (1960)
1960
Earlier work this paper cites.
Robert Gallager, “Low-density parity-check codes,” IRE Transactions on information theory 8
1962
Earlier work this paper cites.
Philip Warren Anderson, “Localisation theory and the Cu Mn problem: Spin glasses,” Materials Research Bulletin 5
1970
Earlier work this paper cites.
Franz J. Wegner, “Duality in generalized Ising models and phase transitions without local order parameters,” Journal of Mathematical Physics 12
1971
Earlier work this paper cites.
J M Kosterlitz and D J Thouless, “Ordering, metastability and phase transitions in two-dimensional systems,” Journal of Physics C: Solid State Physics 6
1973
Earlier work this paper cites.
T. P. Eggarter, “Cayley trees, the Ising problem, and the thermodynamic limit,” Physical Review B 9
1974
Earlier work this paper cites.
Samuel Frederick Edwards and Phil W Anderson, “Theory of spin glasses,” Journal of Physics F: Metal Physics 5
1975
Earlier work this paper cites.
David Sherrington and Scott Kirkpatrick, “Solvable model of a spin-glass,” Physical review letters 35
1975
Earlier work this paper cites.
Alberto Frigerio, Vittorio Gorini, Andrzej Kossakowski, and Maurizio Verri, “Quantum detailed balance and kms condition,” (1977)
1977
Earlier work this paper cites.
PW Anderson, “The concept of frustration in spin glasses,” Journal of the Less Common Metals 62
1978
Earlier work this paper cites.
G. Parisi, “Infinite number of order parameters for spin-glasses,” Phys. Rev. Lett. 43
1979
Earlier work this paper cites.
K. v. Klitzing, G. Dorda, and M. Pepper, “New method for high-accuracy determination of the fine-structure constant based on quantized Hall resistance,” Phys. Rev. Lett. 45
1980
Earlier work this paper cites.
R. Tanner, “A recursive approach to low complexity codes,” IEEE Transactions on Information Theory 27
1981
Earlier work this paper cites.
J J Hopfield, “Neural networks and physical systems with emergent collective computational abilities.” Proceedings of the National Academy of Sciences 79
1982
Earlier work this paper cites.
D. C. Tsui, H. L. Stormer, and A. C. Gossard, “Two-dimensional magnetotransport in the extreme quantum limit,” Phys. Rev. Lett. 48
1982
Earlier work this paper cites.
R. B. Laughlin, “Anomalous quantum hall effect: An incompressible quantum fluid with fractionally charged excitations,” Phys. Rev. Lett. 50
1983
Earlier work this paper cites.
Daniel J. Amit, Hanoch Gutfreund, and H. Sompolinsky, “Spin-glass models of neural networks,” Phys. Rev. A 32
1985
Earlier work this paper cites.
K. Binder and A. P. Young, “Spin glasses: Experimental facts, theoretical concepts, and open questions,” Rev. Mod. Phys. 58
1986
Earlier work this paper cites.
Daniel S. Fisher and David A. Huse, “Ordered phase of short-range ising spin-glasses,” Phys. Rev. Lett. 56
1986
Earlier work this paper cites.
D A Huse and D S Fisher, “Pure states in spin glasses,” Journal of Physics A: Mathematical and General 20
1987
Earlier work this paper cites.
F. D. M. Haldane, “Model for a quantum hall effect without landau levels: Condensed-matter realization of the “parity anomaly”,” Phys. Rev. Lett. 61
1988
Earlier work this paper cites.
G. A. Margulis, “Explicit group-theoretical constructions of combinatorial schemes and their application to the design of expanders and concentrators,” Problems Inform. Transmission 24
1988
Earlier work this paper cites.
A. Lubotzky, R. Phillips, and P. Sarnak, “Ramanujan graphs,” Combinatorica 8
1988
Earlier work this paper cites.
Thomas Worsch, Lower and upper bounds for (sums of) binomial coefficients (1994) karlsruhe 1994. (Interner Bericht. Fakultät für Informatik, Universität Karlsruhe. 1994,31.)
1994
Earlier work this paper cites.
Peter W Shor, “Scheme for reducing decoherence in quantum computer memory,” Physical review A 52
1995
Earlier work this paper cites.
Benjamin Schumacher and Michael A Nielsen, “Quantum data processing and error correction,” Physical Review A 54
1996
Earlier work this paper cites.
A. M. Steane, “Error correcting codes in quantum theory,” Phys. Rev. Lett. 77
1996
Earlier work this paper cites.
A. R. Calderbank and Peter W. Shor, “Good quantum error-correcting codes exist,” Phys. Rev. A 54
1996
Earlier work this paper cites.
M. Sipser and D.A. Spielman, “Expander codes,” IEEE Transactions on Information Theory 42
1996
Earlier work this paper cites.
Emanuel Knill and Raymond Laflamme, “Theory of quantum error-correcting codes,” Physical Review A 55
1997
Earlier work this paper cites.
Emanuel Knill and Raymond Laflamme, “Theory of quantum error-correcting codes,” Physical Review A 55
1997
Earlier work this paper cites.
M. E. J. Newman and Cristopher Moore, “Glassy dynamics and aging in an exactly solvable spin model,” Phys. Rev. E 60
1999
Earlier work this paper cites.
Rémi Monasson, Riccardo Zecchina, Scott Kirkpatrick, Bart Selman, and Lidror Troyansky, “Determining computational complexity from characteristic ‘phase transitions’,” Nature 400
1999
Earlier work this paper cites.
Pablo G. Debenedetti and Frank H. Stillinger, “Supercooled liquids and the glass transition,” Nature 410
2001
Earlier work this paper cites.
Steven T. Bramwell and Michel J. P. Gingras, “Spin ice state in frustrated magnetic pyrochlore materials,” Science 294
2001
Earlier work this paper cites.
S. Franz, M. Mézard, F. Ricci-Tersenghi, M. Weigt, and R. Zecchina, “A ferromagnet with a glass transition,” Europhysics Letters 55
2001
Earlier work this paper cites.
Olivier Dubois and Jacques Mandler, “The 3-xorsat threshold,” Comptes Rendus Mathematique 335
2002
Earlier work this paper cites.
M. Mézard, G. Parisi, and R. Zecchina, “Analytic and algorithmic solution of random satisfiability problems,” Science 297
2002
Earlier work this paper cites.
Franz, Michele Leone, Andrea Montanari, and Federico Ricci-Tersenghi, “Dynamic phase transition for decoding algorithms,” Phys. Rev. E 66
2002
Earlier work this paper cites.
Eric Dennis, Alexei Kitaev, Andrew Landahl, and John Preskill, “Topological quantum memory,” Journal of Mathematical Physics 43
2002
Earlier work this paper cites.
M. Mézard, F. Ricci-Tersenghi, and R. Zecchina, “Two solutions to diluted p-spin models and xorsat problems,” Journal of Statistical Physics 111
2003
Earlier work this paper cites.
A.Yu. Kitaev, “Fault-tolerant quantum computation by anyons,” Annals of Physics 303
2003
Earlier work this paper cites.
C. Di, A. Montanari, and R. Urbanke, “Weight distributions of ldpc code ensembles: combinatorics meets statistical physics,” in International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings. (2004) pp. 102–
2004
Earlier work this paper cites.
G Tarjus, S A Kivelson, Z Nussinov, and P Viot, “The frustration-based approach of supercooled liquids and the glass transition: a review and critical assessment,” Journal of Physics: Condensed Matter 17
2005
Earlier work this paper cites.
Claudio Chamon, “Quantum glassiness in strongly correlated clean systems: An example of topological overprotection,” Phys. Rev. Lett. 94
2005
Cited alongside, same era.
Andrea Montanari and Guilhem Semerjian, “On the dynamics of the glass transition on bethe lattices,” Journal of Statistical Physics 124
2006
Cited alongside, same era.
Sergey Bravyi, Matthew B Hastings, and Frank Verstraete, “Lieb-robinson bounds and the generation of correlations and topological quantum order,” Physical review letters 97
2006
Cited alongside, same era.
Nathan Linial* and Roy Meshulam*, “Homological connectivity of random 2-complexes,” Combinatorica 26
2006
Cited alongside, same era.
Shlomo Hoory, Nathan Linial, and Avi Wigderson, “Expander graphs and their applications,” Bulletin of the American Mathematical Society 43
2006
Cited alongside, same era.
David A Levin and Yuval Peres, Markov chains and mixing times , Vol. 107 (American Mathematical Soc., 2017)
2017
Later among the works it cites.
Abhinav Prem, Jeongwan Haah, and Rahul Nandkishore, “Glassy quantum dynamics in translation invariant fracton models,” Physical Review B 95
2017
Later among the works it cites.
Omar Fawzi, Antoine Grospellier, and Anthony Leverrier, “Efficient decoding of random errors for quantum expander codes,” in Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing , STOC 2018 (Association for Computing Machinery, New York, NY, USA, 2018) p. 521–534
2018
Later among the works it cites.
Omar Fawzi, Antoine Grospellier, and Anthony Leverrier, “Constant overhead quantum fault-tolerance with quantum expander codes,” in 2018 IEEE 59th Annual Symposium on Foundations of Computer Science (FOCS) (2018) pp. 743–754
2018
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Nathan Linial* and Roy Meshulam*, “Homological connectivity of random 2-complexes,” Combinatorica 26
2006
Cited alongside, same era.
Florent Krzakała, Andrea Montanari, Federico Ricci-Tersenghi, Guilhem Semerjian, and Lenka Zdeborová, “Gibbs states and the set of solutions of random constraint satisfaction problems,” Proceedings of the National Academy of Sciences 104
2007
Cited alongside, same era.
Franco Fagnola and Veronica Umanita, “Generators of detailed balance quantum markov semigroups,” Infinite Dimensional Analysis, Quantum Probability and Related Topics 10
2007
Cited alongside, same era.
Dimitris Achlioptas and Amin Coja-Oghlan, “Algorithmic barriers from phase transitions,” in 2008 49th Annual IEEE Symposium on Foundations of Computer Science (2008) pp. 793–802
2008
Cited alongside, same era.
Tom Richardson and Ruediger Urbanke, Modern coding theory (Cambridge university press, 2008)
2008
Cited alongside, same era.
Marc Mezard and Andrea Montanari, Information, physics, and computation (Oxford University Press, 2009)
2009
Cited alongside, same era.
Jean-Pierre Tillich and Gilles Zemor, “Quantum ldpc codes with positive rate and minimum distance proportional to n½,” in 2009 IEEE International Symposium on Information Theory (2009) pp. 799–803
2009
Cited alongside, same era.
Omar Fawzi, Antoine Grospellier, and Anthony Leverrier, “Constant overhead quantum fault-tolerance with quantum expander codes,” in 2018 IEEE 59th Annual Symposium on Foundations of Computer Science (FOCS) (2018) pp. 743–754
2018
Later among the works it cites.
Omar Fawzi, Antoine Grospellier, and Anthony Leverrier, “Efficient decoding of random errors for quantum expander codes,” in Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing , STOC 2018 (Association for Computing Machinery, New York, NY, USA, 2018) p. 521–534
2018
Later among the works it cites.
Bei Zeng, Xie Chen, Duan-Lu Zhou, Xiao-Gang Wen, et al. , Quantum information meets quantum matter (Springer, 2019)
2019
Later among the works it cites.
Alicia J. Kollár, Mattias Fitzpatrick, and Andrew A. Houck, “Hyperbolic lattices in circuit quantum electrodynamics,” Nature 571
2019
Later among the works it cites.
Zack Weinstein, Gerardo Ortiz, and Zohar Nussinov, “Universality classes of stabilizer code hamiltonians,” Phys. Rev. Lett. 123
2019
Later among the works it cites.
Roderich Moessner and Joel E Moore, Topological phases of matter (Cambridge University Press, 2021)
2021
Later among the works it cites.
Nikolas P. Breuckmann and Jens N. Eberhardt, “Balanced product quantum codes,” IEEE Transactions on Information Theory 67
2021
Later among the works it cites.
Avikar Periwal, Eric S. Cooper, Philipp Kunkel, Julian F. Wienand, Emily J. Davis, and Monika Schleier-Smith, “Programmable interactions and emergent geometry in an array of atom clouds,” Nature 600
2021
Later among the works it cites.
Armanda O. Quintavalle, Michael Vasmer, Joschka Roffe, and Earl T. Campbell, “Single-shot error correction of three-dimensional homological product codes,” PRX Quantum 2
2021
Later among the works it cites.
Pavel Panteleev and Gleb Kalachev, “Asymptotically good quantum and locally testable classical ldpc codes,” in Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing , STOC 2022 (Association for Computing Machinery, New York, NY, USA, 2022) p. 375–388
2022
Later among the works it cites.
2022
Later among the works it cites.
Joshua Ramette, Josiah Sinclair, Zachary Vendeiro, Alyssa Rudelis, Marko Cetina, and Vladan Vuletić, “Any-to-any connected cavity-mediated architecture for quantum computing with trapped ions or rydberg arrays,” PRX Quantum 3
2022
Later among the works it cites.
Anurag Anshu and Nikolas P. Breuckmann, “A construction of combinatorial nlts,” Journal of Mathematical Physics 63
2022
Later among the works it cites.
Pavel Panteleev and Gleb Kalachev, “Asymptotically good quantum and locally testable classical ldpc codes,” in Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing , STOC 2022 (Association for Computing Machinery, New York, NY, USA, 2022) p. 375–388
2022
Later among the works it cites.
Irit Dinur, Min-Hsiu Hsieh, Ting-Chun Lin, and Thomas Vidick, “Good quantum ldpc codes with linear time decoders,” in Proceedings of the 55th Annual ACM Symposium on Theory of Computing , STOC 2023 (Association for Computing Machinery, New York, NY, USA, 2023) p. 905–918
2023
Later among the works it cites.
2023
Later among the works it cites.
Simone Franchini, “Replica symmetry breaking without replicas,” Annals of Physics 450
2023
Later among the works it cites.
2023
Later among the works it cites.
Roy Gotlib and Tali Kaufman, “Nowhere to go but high: A perspective on high-dimensional expanders,” in Lectures on the Structure of Algebraic Varieties (EMS Press, 2023) pp. 4842–4871
2023
Later among the works it cites.
Venkatesan Guruswami, Atri Rudra, and Madhu Sudan, Essential coding theory (2023)
2023
Later among the works it cites.
Irit Dinur, Min-Hsiu Hsieh, Ting-Chun Lin, and Thomas Vidick, “Good quantum ldpc codes with linear time decoders,” in Proceedings of the 55th Annual ACM Symposium on Theory of Computing , STOC 2023 (Association for Computing Machinery, New York, NY, USA, 2023) p. 905–918
2023
Later among the works it cites.
C. M. Newman and D. L. Stein, “Free energy difference fluctuations in short-range spin glasses,” Journal of Statistical Physics 191
2024
Closest in time.
Florent Krzakala and Lenka Zdeborová, “Les houches 2022 special issue: Editorial,” Journal of Statistical Mechanics: Theory and Experiment 2024
2024
Closest in time.
Yu-Jie Liu and Simon Lieu, “Dissipative phase transitions and passive error correction,” Phys. Rev. A 109
2024
Closest in time.
2024
Closest in time.
Dolev Bluvstein, Simon J. Evered, Alexandra A. Geim, Sophie H. Li, Hengyun Zhou, Tom Manovitz, Sepehr Ebadi, Madelyn Cain, Marcin Kalinowski, Dominik Hangleiter, J. Pablo Bonilla Ataides, Nishad Maskara, Iris Cong, Xun Gao, Pedro Sales Rodriguez, Thomas Karolyshyn, Giulia Semeghini, Michael J. Gullans, Markus Greiner, Vladan Vuletić, and Mikhail D. Lukin, “Logical quantum processor based on reconfigurable atom arrays,” Nature 626
2024
Closest in time.
Qian Xu, J. Pablo Bonilla Ataides, Christopher A. Pattison, Nithin Raveendran, Dolev Bluvstein, Jonathan Wurtz, Bane Vasić, Mikhail D. Lukin, Liang Jiang, and Hengyun Zhou, “Constant-overhead fault-tolerant quantum computation with reconfigurable atom arrays,” Nature Physics 20
2024
Closest in time.
2024
Closest in time.
2024
Closest in time.
2024
Closest in time.
2024
Closest in time.
Guillaume Dauphinais, David W. Kribs, and Michael Vasmer, “Stabilizer Formalism for Operator Algebra Quantum Error Correction,” Quantum 8
2024
Closest in time.
Yu-Hsueh Chen and Tarun Grover, “Symmetry-enforced many-body separability transitions,” PRX Quantum 5
2024
Closest in time.
2024
Closest in time.
2024
Closest in time.
2024
Closest in time.
2024
Closest in time.
2024
Closest in time.
2024
Closest in time.